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Finding the Fourth Proportional to 10,902.75, 16,370.52 and 6,228.03

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Solution

The fourth proportional to 10,902.75, 16,370.52 and 6,228.03 is: 9,351.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.75 : 16,370.52 = 6,228.03 : x
  2. Step 2: Convert to fraction form
    10,902.75/16,370.52 = 6,228.03/x
  3. Step 3: Cross multiply
    10,902.75x = 16,370.52 × 6,228.03
  4. Step 4: Simplify right side
    10,902.75x = 101,956,089.68
  5. Step 5: Solve for x
    x = 101,956,089.68/10,902.75
  6. Step 6: Final answer
    x = 9,351.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.